What is the Least Common Multiple of 18189 and 18198?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 18189 and 18198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18189 and 18198, than apply into the LCM equation.

GCF(18189,18198) = 9
LCM(18189,18198) = ( 18189 × 18198) / 9
LCM(18189,18198) = 331003422 / 9
LCM(18189,18198) = 36778158

Least Common Multiple (LCM) of 18189 and 18198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18189 and 18198. First we will calculate the prime factors of 18189 and 18198.

Prime Factorization of 18189

Prime Factorization of 18198

Now multiplying the highest exponent prime factors to calculate the LCM of 18189 and 18198.

LCM(18189,18198) = 3³ × 43¹ × 47¹ × 2¹ × 337¹
LCM(18189,18198) = 36778158